Location of roots problem.

[Sumedh]

[SOLVED]
1. The problem statement, all variables and given/known data

Let 4x^2-4(α-2)xα-2=0 (α\epsilon R)
be a quadratic equation, then find the value of α for which both the roots are positive.

2. Relevant equations



3. The attempt at a solution

the conditions will be
1) Discriminant D≥0
by this condition i got α (-∞,2][3,∞)
2) f(0) greater than or equal to 0
by this we get α (2,∞)

3) now should i use -b/2a(point exactly between both roots)
and equate as -b/2a greater than 0


if-3rd point is right then what will be the final answer
α (?,?)union(?,?)
please provide help

[PeterO]

1. The problem statement, all variables and given/known data

Let 4x^2-4(α-2)xα-2=0 (α\epsilon R)
be a quadratic equation, then find the value of α for which both the roots are positive.

2. Relevant equations



3. The attempt at a solution

the conditions will be
1) Discriminant D≥0
by this condition i got α (-∞,2][3,∞)
2) f(0) greater than or equal to 0
by this we get α (2,∞)

3) now should i use -b/2a(point exactly between both roots)
and equate as -b/2a greater than 0


if-3rd point is right then what will be the final answer
α (?,?)union(?,?)
please provide help


Are you sure the equation has typed up correctly? hopefully there should be a + or - sign between the x and the alpha??

[Sumedh]

Thanks,
I have solved the problem:smile:
there is a + sign.